# 2. Find the values of the unknowns x and y in the following diagrams

i) As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle.

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

ii)  As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

iii) As we know, the exterior angle is equal to the sum of opposite internal angles in a triangle

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

iv)

As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence,

v) As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence,

vi)As we know when two lines are intersecting, the opposite angles are equal. So

Now, As we know the sum of internal angles of a triangle is 180. so,

Hence, .

.

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